Stand with Israel Act of 2014 - Prohibits any direct U.S. assistance, loan guarantee, or debt relief to the Palestinian Authority (PA) or any affiliated governing entity or leadership organization. States that such prohibition shall have no effect for a fiscal year if the President certifies to Congress that the PA has: formally recognized Israel's right to exist as a Jewish state and publicly recognized the state of Israel, renounced terrorism and purged all individuals with terrorist ties from the security services, terminated funding of anti-American and anti-Israel incitement, publicly pledged to not engage in war with Israel, and honored previous diplomatic agreements.